−30=5(x+1) solve for x pls help

Answer:

The answer is

Step-by-step explanation:

(4k – 4) + ( –9k – 5)

Remove the bracket and simplify

That's

4k - 4 + - 9k - 5

4k - 4 - 9k - 5

Group like terms

4k - 9k - 4 - 5

We have the final answer as

- 5k - 9

Hope this helps you

We can use FOIL to solve:

(4k - 4) + (-9k - 5)

(4k * -9k) + (4k * -5) + (-4 * -9k) + (-4 * -5)

-36k - 20k + 36k + 20

-20k + 20

Best of Luck!

Correct Question:

5 (u + 1) - 7  = 3 (u - 1) + 2u.

Solve for u

Answer:

See explanation below

Step-by-step explanation:

In this given question, we are required to find u.

Given the equation:

5 (u + 1) - 7 = 3 (u - 1) + 2u​

Required:

Solve for u

To find u, first simplify both sides individually.

Simply 5 (u + 1) - 7:

Expand the parenthesis:

5u + 5 - 7

Collect like terms:

5u - 2

Simplify 3 (u - 1) + 2u​:

Expand the parenthesis:

3u - 3 + 2u

Collect like terms:

3u + 2u - 3

5u - 3

Bring both simplified equations together:

5u - 2 = 5u - 3

5u - 5u - 2 = -3

-2 = -3

Since -2 ≠ -3, there is no solution.

Therefore, we can say the equation is invalid.

sine(X) = opposite side / hypotenuse

sine(X) = (2√11) / (4√11)

sine(X) = (2/4)

sine(X) = 0.5

X = arcsine(0.5)

X = 30°  

Answer: m∠x = 30°

Step-by-step explanation:

In a right triangle, if the short side of the right angle is Half the length of the hypotenuse, the triangle has angles of 30°, 60° and 90°

∠x is the smallest one, so  m∠x = 30°

It is possible to figure the sine and get the angle from that, but in this case it might not be necessary.  ;-)

Answer:

1/2

Step-by-step explanation:

i think sin 5 pi/6

[tex]sin \frac{5 \pi}{6} =sin (\frac{\pi}{2} +\frac{\pi}{3} )=cos \frac{\pi}{3} =\frac{1}{2} \\or\\sin\frac{5 \pi}{6} =sin (\pi-\frac{\pi}{6} )=sin \frac{\pi}{6} =\frac{1}{2}[/tex]

The exact Value of sin 5x/6 is 1/2.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

sin 5x/6

We can Split it as

sin (5π / 6) = sin (π/2 + π/3)

                  = cos π/3

                  = 1/2

Also, sin (5π / 6) = sin (π - π/6)

                  = sin π/6

                  = 1/2

Hence, the exact value is 1/2.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

Answer:

Step-by-step explanation:

Plug x as 2y-15 in the first equation and solve for y.

-5(2y-15)+4y=3

-10y+75+4y=3

-6y+75=3

-6y=-72

y=12

Plug y as 12 in the second equation and solve for x.

x=2(12)-15

x=24-15

x=9

For any isosceles right triangle (aka 45-45-90 triangle), the hypotenuse is always equal to sqrt(2) times the leg. If x is the leg and y is the hypotenuse, then

[tex]y = x*\sqrt{2}[/tex]

which solves to

[tex]x = \frac{y}{\sqrt{2}}[/tex]

from here we plug in the given hypotenuse y = 10 to get the final answer. Optionally we could rationalize the denominator, but your teacher has chosen not to.

Answer:b

On edge

Step-by-step explanation:

Answer:

Option b = 90 degrees of freedom.

Step-by-step explanation:

So, in this particular Question we are given the following parameters or data or information which is going allow us to be able to solve this particular problem or Question;

=> "A regression analysis involved 8 independent variables"

=> "99 observations. "

Requirement : to determine the critical value of t for testing the significance of each of the independent variable's coefficient.

Hence, the formula below will used in Calculating or in the determination of the degree of freedom;

Degree of freedom= total number of observations - number of independent variables- 1.

Thus, slotting bin the values into the formula above, we have;

The degree of freedom = 99 - 8 - 1 = 90.

Answer:

  b ≈ 101.52

Step-by-step explanation:

Given two sides and the angle between, the Law of Cosines is useful.

  b^2 = a^2 +c^2 -2ac·cos(B)

  b^2 = 105^2 +9^2 -2·105·9·cos(65°) ≈ 10307.251

  b ≈ √10307.251

  b ≈ 101.52

Answer:

9

Step-by-step explanation:

Extend every other side of the hexagon so that a triangle is formed.  Since the hexagon is equiangular, the overall triangle is an equilateral triangle, as well as the smaller triangles in the corners.

The length of the sides of the overall triangle is 7 + 2 + 4 = 13.

Therefore, the other two sides of the hexagon are 5 and 4.

The sum is 5 + 4 = 9.

Answer:

At 95% confidence limits for the true difference between the  average Miles per Gallon for the two models is -1.8210  to  4.1789

Yes 95 % confidence means  that there's conclusive evidence to indicate that one model gets a higher MPG than the other.

Step-by-step explanation:

                              Model A              Model B

Sample Size              50                          55

Sample Mean  x`         32                           35

Sample Variance  s²    9                            10

At 95 % confidence limits are given by

x1`-x2` ± 1.96 [tex]\sqrt{\frac{s^{2} }{n1} +\frac{s^{2}}{n2} }[/tex]

Putting the values

32-35  ± 1.96  [tex]\sqrt\frac{9}{50}+\frac{10}{55}[/tex]        ( the variance is the square of  standard deviation)

-3 ± 1.96 [tex]\sqrt{ \frac{495+500}{2750}[/tex]

-3 ± 1.96( 0.6015)

-3 ± 1.17896

-1.8210; 4.1789

Thus the 95% confidence limits for the true difference between the  average Miles per Gallon for the two models is -1.8210  to  4.1789.

Yes 95 % confidence means  that there's conclusive evidence to indicate that one model gets a higher MPG than the other.

3*5 ≡ 15 ≡ 3 (mod 12)

3*7 ≡ 21 ≡ 9 (mod 12)

3*9 ≡ 27 ≡ 3 (mod 12)

5*7 ≡ 35 ≡ 11 (mod 12)

5*9 ≡ 45 ≡ 9 (mod 12)

7*9 ≡ 63 ≡ 3 (mod 12)

Your table should look like the attached.

It's unclear what you're supposed to evaluate for part (b)...

Answer:

16 flowerpots

Step-by-step explanation:

12 divided by 3/4=16

Step-by-step explanation:

a) The Roughly shape of the probability model is bell shaped or symmetric

( normal )

(b) Roughly, guess the center (mean) of the probability model

The mean is 5/10 =0.5

Because the symmetric distribution mean is middle bar and here we see using histogram 5/10 is mean .

(c) Argue that 1.5 is a good guess for the standard deviation of the probability model.

Yes 1.5 is very good guess because then it follow normal distribution it is exactly correct .

Answer:

1,114.6 kPa

Step-by-step explanation:

P(t) = 1300 (0.95)^t

P(3) = 1300 (0.95)^3

P(3) = 1114.6

Answer:

c

Step-by-step explanation:

Answer:

B. 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

You know that the empty barrel is 1/4 of the full barrel. Find 1/4 of 20 to get 0.25 x 20 = 5

Answer:

25

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 + b^2 = c^2

We know the two legs and want to find the hypotenuse

15^2+ 20 ^2 = c^2

225 + 400 = c^2

625 = c^2

Taking the square root of each side

sqrt(625) = c^2

25 = c

Answer:

Length of Shortest Side = 12 inches

Step-by-step explanation:

Length of Shortest Side = L = 3x

Length of Longest Side = W = 5x-4

Condition:

2L+2W = Perimeter

2(3x)+2(5x-4) = 56

6x+10x-8 = 56

16x-8 = 56

Adding 8 to both sides

16x = 56+8

16x = 64

Dividing both sides by 14

=> x = 4

Now,

Length of the Shortest Side = L = 3(4) = 12 inches

Length of the Longest Side = W = 5(4)-4 = 16 inches

Answer:

12 inches

Step-by-step explanation:

The length is the longest side.

The width is the shortest side.

Length : [tex]l=5x-4[/tex]

Width : [tex]w=3x[/tex]

Apply formula for the perimeter of a rectangle.

[tex]P=2l+2w[/tex]

[tex]P=perimeter\\l=length\\w=width[/tex]

Plug in the values.

[tex]56=2(5x-4)+2(3x)[/tex]

[tex]56=10x-8+6x[/tex]

[tex]56=16x-8[/tex]

[tex]64=16x[/tex]

[tex]4=x[/tex]

The shortest side is the width.

[tex]w=3x[/tex]

Plug in the value for x.

[tex]w=3(4)[/tex]

[tex]w=12[/tex]

Answer:

62

Step-by-step explanation:

Sn=1/2(3n^2+7n)

S1=1/2(3+7)=5

S2=1/2(3*4+7*2)=26/2=13

We know

S1=a1=5

S2=a1+a2=13

S2-s1=a1+a2-a1

13-5=a2

a2=8

We know d=a2-a1

d=8-5=3

nth term of AP =an=5+(n-1)3

an= 2+3n

Therefore 20th term =

a20= 2+3(20)=62

Hence 20th term of AP is 62

I hope this helps

Answer:

12345824.4

Step-by-step explanation:

I'm not really sure. I just did 1240x637x15.63=12345824.4

answer:

53,445.1 gallons of water

Step-by-step explanation:

im not exactly sure but i looked up how to calculate gallons in a container and the website i went to told me to measure the interior length, width, and height which was already done, then it told me to multiply the length by width by height to get the volume of the container then it told me to divide the volume by 231 to get the number of gallons in the container, so 1,240* 637= 789,880* 15.63= 12,345,824.4÷231= 53,445.127272727272727272727272727 which rounded to the nearest tenth is 53,445.1, i honestly hope that this is right and that it helps

Answer:

(b) 32

Step-by-step explanation:

From the information given :

sample mean of Philadelphia μ₁ = $1240

Sample size of Philadelphia n₁ = 15

Sample Standard deviation σ₁ = $270

sample mean of Paris μ₂ = $1,060

Sample size of Paris  n₂ = 19

Sample Standard deviation of Paris  σ₂ = $240

If Population 1 is defined as flights originating in Philadelphia and Population 2 is defined as flights originating in Paris;

the degrees of freedom for this hypothesis test can be calculated as;

degree of freedom df = n - 1

degree of freedom for both hypothesis test = (n₁ - 1 + n₂ -1)

degree of freedom for both hypothesis test  = (n₁ + n₂ - 2)

degree of freedom for both hypothesis test  = ( 15 + 19 - 2)

degree of freedom for both hypothesis test are   32  

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

    The sample size is n =  415

    The sample proportion is  [tex]\r p = 0.49[/tex]

Now

     The null hypothesis is  [tex]H_o : p = 0.3[/tex]

     The alternative hypothesis is [tex]H_a : p \ne 0.3[/tex]

The test statistics is mathematically evaluated as

      [tex]t = \frac{\r p - p }{ \frac{\sqrt{ p (1- p )} }{n} }[/tex]

substituting values

      [tex]t = \frac{0.49 - 0.3 }{ \sqrt{ \frac{0.3 (1- 0.3 ) }{415} }}[/tex]

     [tex]t = 8.446[/tex]

Answer:

21.5%

Step-by-step explanation:

51 divided by 237 to get percentage (237*.215% = 51)

Answer:

[tex]\Large \boxed{\sf \ \ 7 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

The polynomial function is

[tex]x^3-5x^2-12x+14[/tex]

The rational root theorem states that each rational solution

   [tex]x=\dfrac{p}{q}[/tex]    

, written in irreducible fraction, satisfies the two following:

   p is a factor of the constant term

   q is a factor of the leading coefficient

In this example, the constant term is 14 and the leading coefficient is 1. It means that p is a factor of 14 and q a factor of 1.

Let's proceed with the prime factorisation of 14:

14 = 2 * 7

Finally, the possible rational roots of this expression are :

   1

   2

   7

   14

and we need to test for negative ones too

   -1

   -2

   -7

   -14

From your list, the correct answer is 7.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

the answer is C.) 7

Answer:

1800

Step-by-step explanation:

Hello,

First of all we need to find the prime factorisation of the numbers.

18 = 2 * 3 * 3

40 = 2 * 2 * 2 * 5

75 = 3 * 5 * 5

It means that the LCM should have 5 * 5 , 2 * 2 * 2 and 3 * 3

Then LCM = 3 * 3 * 2 * 2 * 2 * 5 * 5 = 1800

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

1800

Step-by-step explanation:

→ First of all we need to find the prime factorisation of the numbers.

18 = 2 × 3 × 3 or 2 × 3²

40 = 2 × 2 × 2 × 5 or 2³ × 5

75 = 3 × 5 × 5 or 5² × 3

→ Now find the number that appear twice or more and write them down

3 and 3 from 18

2, 2 and 2 from 40

5 and 5 from 75

→ Now multiply all of these numbers together

3 × 3 × 2 × 2 × 2 × 5 × 5 = 3² × 2³ × 5² = 1800

Answer:

Your correct answer is 3.75

Step-by-step explanation:

0.25 x 15 = 3.75

Answer:

3.75

Step-by-step explanation:

You can do this many ways. Write a table that looks like this:

0.25

   15

--------

Ignore all decimal points. Multiply the 5's together and carry the 2 to the next column. Multiply 2 x 5 + 2, write the second digit (which is 2) and carry the 1. Multiply 0 by 5 + 1 = 1, so your top number should be 125. Then, multiply all the numbers by the 1. 5 x 1 = 5; 2 x 1 = 2; 0 x 1 = 0. We now have something that looks like:

   0.25

       15

   --------

    1  2  5

0  2  5

Add these numbers together and add the decimal point 2 numbers from the right, since that's what was in the original decimal.

    1  2  5

0  2  5

---------------

    3.75

Answer:

The rate of interest is 20% and the sum is $3,750

Step-by-step explanation:

In order to calculate the sum and rate of interest we would have to make the following calculation:

rate of interest= (sum in 4 years-sum in 3 years)*100/sum in 3 years*1

According to the given data we have the following:

sum in 4 years=$7,776

sum in 3 years=$6,480

Therefore, sum in 4 years-sum in 3 years=$7,776-$6,480=$1,296

Therefore, rate of interest=$1,296*100/$6,480*1

rate of interest=20%

To calculate the sum we would have to make the following calculation:

FV=PV(1+20%)∧3

$6,480=PV(1,20)∧3

PV=$3,750

Sum is $3,750

Answer:

1rst way they give is CORRECT WAY

The rest of the options are the INCORRECT WAY.

Step-by-step explanation:

When you do 620*7 + 6 = 4376 is the answer you get.

When you do the other math - you do not get the same initial value.